30828153979008 has 640 divisors, whose sum is σ = 97764279782400. Its totient is φ = 9625946480640.

The previous prime is 30828153978959. The next prime is 30828153979043. The reversal of 30828153979008 is 80097935182803.

30828153979008 is a `hidden beast` number, since 3 + 0 + 8 + 2 + 8 + 1 + 539 + 7 + 90 + 0 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2342736333 + ... + 2342749491.

It is an arithmetic number, because the mean of its divisors is an integer number (152756687160).

Almost surely, 2^{30828153979008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30828153979008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48882139891200).

30828153979008 is an abundant number, since it is smaller than the sum of its proper divisors (66936125803392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30828153979008 is a wasteful number, since it uses less digits than its factorization.

30828153979008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13450 (or 13429 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 30828153979008 in words is "thirty trillion, eight hundred twenty-eight billion, one hundred fifty-three million, nine hundred seventy-nine thousand, eight".